• Title/Summary/Keyword: mathematical change

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Reduction of Channel Change Delay Using Adjacent Channel Delivery in P2P Based IPTV Systems (P2P방식의 IPTV시스템에서 인접채널 전송방식을 이용한 채널변경 지연시간의 단축)

  • Kim, Ji-Hoon;Kim, Young-Han
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.46 no.5
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    • pp.115-121
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    • 2009
  • In this paper, we propose an algorithm that reduces channel change delay time in the P2P based IPTV system. Channel change delay time is considered to be one of the most important performance measures in IPTV system. Proposed algorithm presents a method to reduce the channel change delay time effectively. The algorithm eliminates the first channel change delay time and reduces delay time on a continuous channel surfing. We will show the mathematical models to evaluate the performance of proposed scheme with respect to the channel change delay time.

Climate change impact assessment of agricultural reservoir using system dynamics model: focus on Seongju reservoir

  • Choi, Eunhyuk
    • Korean Journal of Agricultural Science
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    • v.48 no.2
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    • pp.311-331
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    • 2021
  • Climate change with extreme hydrological events has become a significant concern for agricultural water systems. Climate change affects not only irrigation availability but also agricultural water requirement. In response, adaptation strategies with soft and hard options have been considered to mitigate the impacts from climate change. However, their implementation has become progressively challenging and complex due to the interconnected impacts of climate change with socio-economic change in agricultural circumstances, and this can generate more uncertainty and complexity in the adaptive management of the agricultural water systems. This study was carried out for the agricultural water supply system in Seongju dam watershed in Seonju-gun, Gyeongbuk in South Korea. The first step is to identify system disturbances. Climate variation and socio-economic components with historical and forecast data were investigated Then, as the second step, problematic trends of the critical performance were identified for the historical and future climate scenarios. As the third step, a system structure was built with a dynamic hypothesis (causal loop diagram) to understand Seongju water system features and interactions with multiple feedbacks across system components in water, agriculture, and socio-economic sectors related to the case study water system. Then, as the fourth step, a mathematical SD (system dynamics) model was developed based on the dynamic hypothesis, including sub-models related to dam reservoir, irrigation channel, irrigation demand, farming income, and labor force, and the fidelity of the SD model to the Seongju water system was checked.

Building a mathematics model for lane-change technology of autonomous vehicles

  • Phuong, Pham Anh;Phap, Huynh Cong;Tho, Quach Hai
    • ETRI Journal
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    • v.44 no.4
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    • pp.641-653
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    • 2022
  • In the process of autonomous vehicle motion planning and to create comfort for vehicle occupants, factors that must be considered are the vehicle's safety features and the road's slipperiness and smoothness. In this paper, we build a mathematical model based on the combination of a genetic algorithm and a neural network to offer lane-change solutions of autonomous vehicles, focusing on human vehicle control skills. Traditional moving planning methods often use vehicle kinematic and dynamic constraints when creating lane-change trajectories for autonomous vehicles. When comparing this generated trajectory with a man-generated moving trajectory, however, there is in fact a significant difference. Therefore, to draw the optimal factors from the actual driver's lane-change operations, the solution in this paper builds the training data set for the moving planning process with lane change operation by humans with optimal elements. The simulation results are performed in a MATLAB simulation environment to demonstrate that the proposed solution operates effectively with optimal points such as operator maneuvers and improved comfort for passengers as well as creating a smooth and slippery lane-change trajectory.

A Development and Application of Play Learning Program for the Complement Number Concept (보수 개념 신장을 위한 놀이 학습 프로그램의 개발 및 적용)

  • Jeong, Ji In;Kim, Sung Joon
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.2
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    • pp.193-213
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    • 2016
  • This study has two goals. The First is to develop and apply a step-by-step program and the degree to which students' mathematical skills. The second is to analyze mathematical attitude change around the first grade students was done. The program for learning complement number is composed of series of 5 steps and 11 classes. Play for learning complement number, taking into account the difficulty of the learning steps 1-5 are organized. First step is composed of the classes which fragmented pieces of shapes to complete the entire geometry with fun activities for the entire part of the concept of learning and it maintenance concepts and can naturally learn by associating step. In second step, tools to take advantage of the real world and collecting the conservative concept. 3rd steps is to repair the mathematical concept of the parish in the learning stage of expansion. 4th step is halrigalri, number cards, making ten games etc. 5th step is to verify the concept of complement number and number operation ability. The concept of complement number through fun activities can improve students' mathematical skills, and mathematical attitude change. Early in the program, students use the finger to throw acid in the process. Simple addition and subtraction calculations may take a long time and error, but more and more we progress through the program using the fingers is eliminated and a more complex form calculations was not difficult to act out.

Effects of Flipped Learning through EBSmath on Mathematics Learning and Mathematical Dispositions (EBSmath를 활용한 거꾸로 수업이 수학 학습과 수학적 성향에 미치는 영향)

  • Oh, Hyejin;Park, Sungsun
    • Education of Primary School Mathematics
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    • v.24 no.4
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    • pp.217-231
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    • 2021
  • The purpose of this study was to investigate the effects of flipped learning through EBSmath on Students' 'rate and ratio' learning. By increasing demands for change in education, an innovative teaching and learning paradigm, 'Flipped Learning', has been presented and drawing attentions. In South Korea, Flipped Learning is also highly recognized for its effectiveness by many scholars and various media. However, this innovative learning model has limitations in application and expansion due to the excessive burden of class preparation of teachers. As remote learning becomes more active, it would be possible to overcome the limitations of Filliped learning by using the platform provided by the Korea Educational Broadcasting System (EBS). EBSmath is an online learning module that is designed to assist students' self-directed learning. Thus, EBSmath would reduce teachers' burden to prepare mathematics classes for the application of Flipped Learning; and led to students' better understanding of mathematical concepts and problem solving. In this study, the effect of Flipped Learning through EBSmath on learning 'rate and ratio' was investigated. In order to scrutinize the effects of flipped learning, students' achievement and mathematical disposition were examined and analyzed. Students' achievement, specifically, was divided into two subcategories: concept understanding and problem solving. As a result, Flipped learning through EBSmath had a positive effect on students' 'rate and ratio' problem solving. In addition, a statistically significant change was identified in the 'willingness', which is subdomain of students' mathematical disposition.

Primary School Mathematics Using GSP (초등학교 수학교육에 있어서 컴퓨터의 활용을 위한 연구)

  • 임해경;강순자
    • Education of Primary School Mathematics
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    • v.3 no.1
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    • pp.47-54
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    • 1999
  • The development of computer software accelerates the change of teaching-learning method in primary school mathematics. In this paper, we discuss how to apply the software GSP to teach mathematics in primary school and suggest some examples fur the creative and active loaming. Moreover, we give the efficient teaching method for the primary school mathematics.

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A Study of Developing Teaching & Learning Materials for Elementary Mathematical Essay -For the Elementary School 3rd Grade- (초등 수리 논술 교수-학습 자료 개발 연구 -초등학교 3학년을 중심으로-)

  • Jeong, Na-Young;Shin, Hang-Kyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.1
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    • pp.95-120
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    • 2011
  • Modern society is the age of the information. As new information is springing up every day and pace of change becomes faster, the importance of communication skills is growing. The recent mathematics education is recognized as not a fragmentary mathematical knowledge or results of the learning, but a procedure of mathematical thinking, and the effective expression skill of their mathematical ideas and the ability to forward it to others are regarded very serious. As the method of mathematics evaluation, mathematical essay is introduced to replace the existing multiple-choice written test. This method assess the ability which students have, that express the reorganized knowledge and information according to given situation by themselves. Ultimately, it is expected to help that students get the higher order thinking skills such as logical thinking and creativity. However, definition of elementary mathematical essay is unclear, and proper teaching methods is lacking for each stage of elementary school students. Thus, in this paper, I have defined the concept of elementary mathematical essay and made a foundation of elementary mathematical essay research, then researched about the effective utilization of elementary mathematical essay using school education. Also elementary mathematical essay teaching-learning materials is developed and applied to analyzed the students' responses. Using this program, in real elementary school education, the implications has deduced.

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A Longitudinal Study on the Mathematical Contents Changed in 2015 National Revised Curriculum for Elementary School Mathematics (2015 개정 초등 수학과 교육과정의 변화 내용에 대한 종적 분석)

  • Chang, Hyewon
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.2
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    • pp.215-238
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    • 2016
  • The 2015 national revised curriculum was notified officially the last year. The intent and direction of the revision caused more or less change for mathematical contents to be taught and is expected to cause a considerable change in math class. In the level of elementary school mathematics, it turned that several contents were deleted or moved to the upper grades because the revision focused especially both on reducing students' burden of learning and on fostering the mathematical key competences. This study aims to examine the relevance of the change through investigation of the national curriculums for elementary school mathematics since 1946. The mathematical contents to be analyzed in this study were mixed calculation of natural numbers, mixed calculation of fractions and decimal fractions, position and direction of objects, are/hectare and ton, the range of numbers and estimating, surface and volume of cylinders, pattern and correspondence, and direct/inverse proportionality, which were changed in any aspect relative to 2009 national revised curriculum. Based on the results of these analyses, the discussion will provide some suggestions for setting the direction of elementary mathematics curriculum.

The application of model equations to Non-Fickian diffusion observed in Fluoropolymers

  • Lee, Sangwha
    • Proceedings of the Membrane Society of Korea Conference
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    • 1996.04a
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    • pp.34-35
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    • 1996
  • The diffusional behavior of many non-solvents in glassy or semicrystalline polymers cannot be adequately described by a concentration-dependent form of Fick's law, especially when mass transfer is coupled with structural changes. Many mathematical models have been devised to interprete non-Fickian diffusion dominated by relaxation kinetics. In formulation of non-Fickian diffusion mathematics, therefore, the most important factor to consider is how relaxation effects can influence the governing constitutive equation and boundary conditions. That is, relaxation parameters can be accommodated by variable boundary conditions or a modified continuity equation, or both, depending on specific systems and conditions (Frish, 1980). Accoring to Astarita and Nicolais (1983), the model equations can be broadly categorized as continuous or discontinuous. Continuous model equations encompass phenomena where the structural change takes place gradually over the whole volume of the polymer sample (Crank, 1953; Long and Richman, 1961; Berens and Hopfenberg, 1978). On the other hand, discontinuous model equations deal with the phenomena where the morphological change appears to be abrupt (Li, 1984). Four mathematical models with different relaxation parameters were applied to fit the anomalous sorption data observed in fluoropolymers (PVDF, ECTFE). The fitted result for PVDF-benzene sorption data is shown in Fig. 1.

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